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Thick Groups and Essentially Finitely Indecomposable Groups

  • Khalid Benabdallah (a1) and Robert Wilson (a1)

Extract

In this article, we examine the relationship between the notions of thick groups and that of essentially finitely indecomposable (e.f.i.) groups. These groups are indecomposable objects in the quotient category of the category of abelian groups induced by the Serre-class of bounded groups.

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References

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1. Benabdallah, K. and Irwin, J. M., On quasi-essential subgroups of primary abelian groups, Can. J. Math. 22 (1970), 11761184.
2. Benabdallah, K. and Irwin, J. M., N-high subgroups and p-adic topology, Comment. Math. Univ. St-Pauli 21 (1972), 4345.
3. Benabdallah, K. and Irwin, J. M., Pure N-high subgroups, p-adic topology and direct sums of cyclic groups, Can. J. Math. 26 (1974), 322327.
4. Fuchs, L., Infinite abelian groups ﹛I and ID (Academic Press, New-York, 1970).
5. Megibben, C., Large subgroups and small homomorphisms, Michigan Math. J. 13 (1966), 153160.
6. Pierce, R. S., Homomorphisms of primary abelian groups, Topics in Abelian Groups, 215310 Chicago, Illinois, 1963).
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Thick Groups and Essentially Finitely Indecomposable Groups

  • Khalid Benabdallah (a1) and Robert Wilson (a1)

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